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arXiv · 2107.11969

A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series

Marco Cantarini
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Abstract

In this paper we show that a closed form formula for the generalized Clebsch-Gordan integral and the Fourier-Legendre expansion theory allow to evaluate hypergeometric series involving powers of the normalized central binomial coefficient ${\displaystyle \frac{1}{4^{n}}\dbinom{2n}{n}}$.

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Marco Cantarini. 2021-07-26. A note on Clebsch-Gordan integral, Fourier-Legendre expansions and closed form for hypergeometric series. https://arxiv.org/abs/2107.11969

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